217107 has 32 divisors (see below), whose sum is σ = 380160. Its totient is φ = 120960.

The previous prime is 217081. The next prime is 217111. The reversal of 217107 is 701712.

It is not a de Polignac number, because 217107 - 2⁸ = 216851 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 217107.

It is not an unprimeable number, because it can be changed into a prime (217117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5028 + ... + 5070.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2²¹⁷¹⁰⁷ is an apocalyptic number.

217107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

217107 is a deficient number, since it is larger than the sum of its proper divisors (163053).

217107 is a wasteful number, since it uses less digits than its factorization.

217107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 217107 is about 465.9474219266. The cubic root of 217107 is about 60.1023253927.

Adding to 217107 its reverse (701712), we get a palindrome (918819).

It can be divided in two parts, 217 and 107, that added together give a square (324 = 18²).

The spelling of 217107 in words is "two hundred seventeen thousand, one hundred seven", and thus it is an iban number.